20257875765625 has 21 divisors (see below), whose sum is σ = 25322723853267. Its totient is φ = 16205850525000.

The previous prime is 20257875765607. The next prime is 20257875765697. The reversal of 20257875765625 is 52656757875202.

The square root of 20257875765625 is 4500875.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 17747843926761 + 2510031838864 = 4212819^2 + 1584308^2 .

It is not a de Polignac number, because 20257875765625 - 2¹¹ = 20257875763577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 562591372 + ... + 562627378.

Almost surely, 2^{20257875765625} is an apocalyptic number.

20257875765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20257875765625 is the 4500875-th square number.

20257875765625 is the 2250438-th centered octagonal number.

It is an amenable number.

20257875765625 is a deficient number, since it is larger than the sum of its proper divisors (5064848087642).

20257875765625 is an frugal number, since it uses more digits than its factorization.

20257875765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72044 (or 36012 counting only the distinct ones).

The product of its (nonzero) digits is 493920000, while the sum is 67.

The spelling of 20257875765625 in words is "twenty trillion, two hundred fifty-seven billion, eight hundred seventy-five million, seven hundred sixty-five thousand, six hundred twenty-five".